Integrable pseudopotentials related to generalized hypergeometric functions

Authors :: Odesskii, Alexander
Sokolov, Vladimir
Publication Year :: 2008
Abstract: We construct integrable pseudopotentials with an arbitrary number of fields in terms of generalized hypergeometric functions. These pseudopotentials yield some integrable (2+1)-dimensional hydrodynamic type systems. An interesting class of integrable (1+1)-dimensional hydrodynamic type systems is also generated by our pseudopotentials.<br />Comment: Latex, 28 pages, new material on integrable 3-dimensional hydrodynamic type systems is added